Using Affine Transfromations, apply the following Affine Transfromations sequentially to a rectangle composed of the following four vertices, that is$,(0,0),(2,0),(0,3),$ and $(2,3).$ Find the final coordinate value.

$($a$)$ Move the center of the rectangle to the origin $(0,0),$

$($b$)$ Rotate it $45$ degrees counterclockwise,

$($c$)$ Enlarge the image by $2$ times in the x$-$axis direction and $3$ times in the y$-$axis direction, and finally.

$($d$)$ Skew $0\mathrm{.}5$ times in the x$-$axis direction.

Below is the example.

NOTE: I don't need the explanation of how to do it$,$ but the ready one sample with images $($even the handwritting would be okay$).$ So please, read this note carefully and pay attention to it$.$ Thank you!